Find the angle between the following two vectors: <2, -5> and <4, 21>. Round your answer to the nearest degree. You do not need to include the degree symbol in your solution.

Respuesta :

To find the angle we have the formula

and we have that

[tex]\begin{gathered} \lvert{a}\rvert=\sqrt{4+25}=\sqrt{29} \\ \lvert b\rvert=\sqrt{16+441}=\sqrt{457} \end{gathered}[/tex]

so we get that

[tex]\cos\alpha\approx-0.8425867691776014[/tex]

Then

[tex]\alpha=147.41429264608558°[/tex]

The answer is 147.41429264608558

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